Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bs |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30105600 |
Modular degree for the optimal curve |
Δ |
6.1295363441942E+27 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-494175128,1921081501595] |
[a1,a2,a3,a4,a6] |
Generators |
[-23955:122569:1] |
Generators of the group modulo torsion |
j |
3175810009311517144441/1458531375727509504 |
j-invariant |
L |
9.7723830684537 |
L(r)(E,1)/r! |
Ω |
0.038024222852361 |
Real period |
R |
4.0156898416017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874k1 62622by1 |
Quadratic twists by: -3 -7 |